GCD of 180, 560, 136, 882 Calculator

Given Input numbers are 180, 560, 136, 882

In the factoring method, we have to find the divisors of all numbers

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (180, 560, 136, 882) = 2.

Given numbers are 180, 560, 136, 882

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 180, 560, 136, 882 is 2.

Given numbers are 180, 560, 136, 882

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(180, 560) = 5040

GCD(180, 560) = ( 180 x 560 ) / 5040

= 180 / 560

= 180

Step2:

LCM(20, 136) = 680

GCD(20, 136) = ( 20 x 136 ) / 680

= 20 / 136

= 20

Step3:

LCM(4, 882) = 1764

GCD(4, 882) = ( 4 x 882 ) / 1764

= 4 / 882

= 4

So, Greatest Common Divisor of 180, 560, 136, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 174, 398, 545
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Given numbers are 180, 560, 136, 882
The greatest common divisor of numbers 180, 560, 136, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 560, 136, 882 is 2.

1. What is the GCD of 180, 560, 136, 882?

GCD of given numbers 180, 560, 136, 882 is 2

2. How to calculate the greatest common divisor of 180, 560, 136, 882?

We can find the highest common divisor of 180, 560, 136, 882 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 180, 560, 136, 882 i.e 2.

3. How can I use the GCD of 180, 560, 136, 882Calculator?

Out the numbers 180, 560, 136, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.